INARBE - Institute for Advanced Research in Business and Economics

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Open Access
Agent-based simulation improves e-grocery deliveries using horizontal cooperation
(IEEE, 2020) Serrano Hernández, Adrián; Faulín Fajardo, Javier; Torre Martínez, Rocío de la; Cadarso, Luis; Estatistika, Informatika eta Matematika; Enpresen Kudeaketa; Institute of Smart Cities - ISC; Institute for Advanced Research in Business and Economics - INARBE; Estadística, Informática y Matemáticas; Gestión de Empresas
E-commerce has increased tremendously in recent decades because of improvements in the information and telecommunications technology along with changes in societal lifestyles. More recently, e-grocery (groceries purchased online) including fresh vegetables and fruit, is gaining importance as the most-efficient delivery system in terms of cost and time. In this respect, we evaluate the effect of cooperation-based policies on service quality among different supermarkets in Pamplona, Spain. Concerning the methodology, we deploy, firstly, a detailed survey in Pamplona in order to model e-grocery demand patterns. Secondly, we develop an agent-based simulation model for generating scenarios in cooperative and non-cooperative settings, considering the real data obtained from the survey analysis. Thus, a Vehicle Routing Problem is dynamically generated and solved within the simulation framework using a biased-randomization algorithm. Finally, the results show significant reductions in lead times and better customer satisfaction when employing horizontal cooperation in e-grocery distribution.
Open Access
An axiomatic approach to finite means
(Elsevier, 2018) Campión Arrastia, María Jesús; Candeal, Juan Carlos; García Catalán, Olga Raquel; Giarlotta, Alfio; Induráin Eraso, Esteban; Estatistika, Informatika eta Matematika; Institute for Advanced Research in Business and Economics - INARBE; Institute for Advanced Materials and Mathematics - INAMAT2; Estadística, Informática y Matemáticas
In this paper we analyze the notion of a finite mean from an axiomatic point of view. We discuss several axiomatic alternatives, with the aim of establishing a universal definition reconciling all of them and exploring theoretical links to some branches of Mathematics as well as to multidisciplinary applications.
Open Access
La ciudadanía global como reto en la enseñanza-aprendizaje de las universidades: las experiencias de innovación educativa de desarrollo y cooperación internacional, derecho Internacional y matemáticas
(Universitat Politècnica de València, 2021) Chicharro Lázaro, Alicia; Campión Arrastia, María Jesús; Zuzenbidea; Estatistika, Informatika eta Matematika; Institute for Advanced Research in Business and Economics - INARBE; Institute for Advanced Social Research - ICOMMUNITAS; Derecho; Estadística, Informática y Matemáticas
Se presentan varias experiencias de innovación educativa en la Universidad Pública de Navarra que tienen como nexo común fundamental la transversalización de los Objetivos de Desarrollo Sostenible en el currículo. Con este objetivo se presenta el curso de extensión universitaria de Desarrollo y Cooperación Internacional, transversal a todas las titulaciones y en el que participan las autoras, así como en las asignaturas que imparten en sus respectivas titulaciones: Derecho Internacional Público y Matemáticas. Se observa cómo dichas asignaturas, a priori dispares a nivel conceptual, pueden ser trabajadas a nivel competencial con un mismo reto común, que es el fomento del ejercicio de una ciudadanía global, activa, solidaria, responsable y comprometida con el desarrollo sostenible. Se describe para cada una de dichas experiencias algunas de las actividades llevadas a cabo con dicho objetivo, contextualizadas en el marco de los ODS. Se analizan las principales conclusiones extraídas de la experiencia, poniendo de relieve el papel fundamental de las universidades como motor de transformación social desde distintas dimensiones.
Open Access
Decomposition and arrow-like aggregation of fuzzy preferences
(MDPI, 2020) Raventós Pujol, Armajac; Campión Arrastia, María Jesús; Induráin Eraso, Esteban; Estatistika, Informatika eta Matematika; Institute for Advanced Research in Business and Economics - INARBE; Institute for Advanced Materials and Mathematics - INAMAT2; Estadística, Informática y Matemáticas
We analyze the concept of a fuzzy preference on a set of alternatives, and how it can be decomposed in a triplet of new fuzzy binary relations that represent strict preference, weak preference and indifference. In this setting, we analyze the problem of aggregation of individual fuzzy preferences in a society into a global one that represents the whole society and accomplishes a shortlist of common-sense properties in the spirit of the Arrovian model for crisp preferences. We introduce a new technique that allows us to control a fuzzy preference by means of five crisp binary relations. This leads to an Arrovian impossibility theorem in this particular fuzzy setting.
Open Access
Decomposition of fuzzy relations: an application to the definition, construction and analysis of fuzzy preferences
(MDPI, 2023) Campión Arrastia, María Jesús; Induráin Eraso, Esteban; Raventós Pujol, Armajac; Estadística, Informática y Matemáticas; Estatistika, Informatika eta Matematika; Institute for Advanced Materials and Mathematics - INAMAT2; Institute for Advanced Research in Business and Economics - INARBE
In this article, we go deeper into the study of some types of decompositions defined by triangular norms and conorms. We work in the spirit of the classical Arrovian models in the fuzzy setting and their possible extensions. This allows us to achieve characterizations of existence and uniqueness for such decompositions. We provide rules to obtain them under some specific conditions. We conclude by applying the results achieved to the study of fuzzy preferences.
Open Access
An extended behavior model for explaining the willingness to pay to reduce the air pollution in road transportation
(Elsevier, 2021) Sánchez García, Mercedes; Zouaghi, Ferdaous; Lera López, Fernando; Faulín Fajardo, Javier; Enpresen Kudeaketa; Ekonomia; Estatistika, Informatika eta Matematika; Institute on Innovation and Sustainable Development in Food Chain - ISFOOD; Institute for Advanced Research in Business and Economics - INARBE; Institute of Smart Cities - ISC; Gestión de Empresas; Economía; Estadística, Informática y Matemáticas
Road transportation constitutes a key sector in developed countries, as an essential catalyst for economic and social activities. Nevertheless, it is relevant to emphasize the negative impacts of this activity identified in Economics as negative externalities. At the European Union, road transportation is the main cause of the air pollution impact on the population. Thus, this study explores the factors that influence the willingness to pay (WTP) on behalf of the citizens to reduce air pollution generated by road transport. In doing so, we propose two fundamental theoretical frameworks to explain individual behavior towards the environment actions: the Theory of Planned Behavior (TPB) and the Value-Belief-Norm (VBN) models. A questionnaire survey with 1,612 residents was used to collect data in 65 localities located in the Spanish Pyrenees and performing a statistical analysis with the resulting data relied on application of Structural Equation Models (SEM). Moreover, the survey results highlight the importance of psychological aspects as predictors of proenvironmental behaviors. Our empirical results provide a novel contribution about how governments and educational policies can enhance the positive attitude towards environmental actions, unifying the struggle in favor of environmental protection from early childhood.
Open Access
Extensions of orders to a power set vs. scores of hesitant fuzzy elements: points in common of two parallel theories
(MDPI, 2024-08-13) Induráin Eraso, Esteban; Munárriz Iriarte, Ana; Sara Goyen, Martín Sergio; Estadística, Informática y Matemáticas; Estatistika, Informatika eta Matematika; Institute for Advanced Research in Business and Economics - INARBE; Institute for Advanced Materials and Mathematics - INAMAT2
We deal with two apparently disparate theories. One of them studies extensions of orderings from a set to its power set. The other one defines suitable scores on hesitant fuzzy elements. We show that both theories have the same mathematical substrate. Thus, important possibility/impossibility results concerning criteria for extensions can be transferred to new results on scores. And conversely, conditions imposed a priori on scores can give rise to new extension criteria. This enhances and enriches both theories. We show examples of translations of classical results on extensions in the context of scores. Also, we state new results concerning the impossibility of finding a utility function representing some kind of extension order if some restrictions are imposed on the utility function considered as a score.
Open Access
Flipped Classroom or flip to foster self-regulation competencies in Mathematics in Economics and Business students
(Elsevier, 2025-02-08) Rodríguez Rincón, Yeray; Munárriz Iriarte, Ana; Magreñán Ruiz, Ángel Alberto; Estadística, Informática y Matemáticas; Estatistika, Informatika eta Matematika; Institute for Advanced Research in Business and Economics - INARBE
This study evaluates the implementation of the Flipped Classroom (or Inverted Classroom) methodology in university-level Mathematics courses for Economics and Business Administration students, addressing common challenges such as quantitative deficiencies, diverse student backgrounds, variability in learning paces, and math anxiety, which often lead to demotivation and disengagement. The quasi-experimental design included three student groups, with a total sample of 137 students: an experimental group using the Flipped Classroom method, and two control groups taught through traditional methods. Data were collected via pretests, posttests, and a satisfaction survey. The results reveal that students who actively engaged with the Flipped Classroom methodology showed significant improvements in academic performance, particularly among those with weaker mathematical backgrounds, compared to the ones who followed traditional methods. The analysis demonstrates that this improvement is independent of instructor quality, as the Flipped Classroom methodology fosters the development of self-regulation and self-efficacy skills. These competencies were key in enhancing students' academic success, rather than the specific instructional approach. Additionally, students reported high levels of satisfaction with the Flipped Classroom approach, citing increased time investment, greater engagement with Mathematics, and recommending its broader application in other subjects. Overall, the study supports the effectiveness of the Flipped Classroom methodology in improving academic outcomes and fostering essential learning skills.
Open Access
From math aversion to effective integration: theoretical framework for building quantitative skills in Economics and Business students
(Elsevier, 2025-05-14) Rodríguez Rincón, Yeray; Munárriz Iriarte, Ana; Estadística, Informática y Matemáticas; Estatistika, Informatika eta Matematika; Institute for Advanced Research in Business and Economics - INARBE
This study proposes a novel theoretical framework that systematically integrates the cognitive-affective factors evidenced in academic literature-math anxiety, math self-efficacy, math identity, and perceived mathematical utility-which enhance the development of quantitative skills (QS) in Economics and Business students. The proposed framework structures a progression based on four formative developmental stages: Identification, Recognition, Transfer, and Integration. To facilitate practical application, a self-assessment tool characterizes and diagnoses each student's QS development level. Additionally, a set of instructional strategies based on existing literature supports the design of targeted didactic interventions, fostering resilience, confidence, and engagement with quantitative methods. Both the theoretical framework and the self-assessment tool have been validated by an expert panel using the Modified Delphi Method. The panel of experts confirmed the clarity and coherence of the proposed model as a tool for diagnosing QS development and guiding effective instructional interventions. Beyond its classroom application, this model serves as a foundation for curriculum design, offering a theoretical framework to support the structuring of pathways for the progressive development of quantitative skills throughout the academic journey. By addressing both cognitive and affective factors, this study contributes to an innovative approach that helps bridge the gap between theoretical research and practical implementation.
Open Access
Fuzzy Arrovian theorems when preferences are strongly-connected
(University of Sistan and Baluchestan, 2022) Raventós Pujol, Armajac; Estadística, Informática y Matemáticas; Estatistika, Informatika eta Matematika; Institute for Advanced Research in Business and Economics - INARBE; Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa
In this paper we study the aggregation of fuzzy preferences on non-necessarily finite societies. We characterize in terms of possibility and impossibility a family of models of strongly-connected preferences in which the transitivity is defined for any t-norm. For that purpose, we have described each model by means of some crisp binary relations and we have applied the results obtained by Kirman and Sondermann about ultrafilters and Arrovian models.
Open Access
Geometrical aggregation of finite fuzzy sets
(Elsevier, 2018) Campión Arrastia, María Jesús; García Catalán, Olga Raquel; Induráin Eraso, Esteban; Lizasoain Iriso, María Inmaculada; Raventós Pujol, Armajac; Valero, Óscar; Estatistika, Informatika eta Matematika; Institute for Advanced Materials and Mathematics - INAMAT2; Institute for Advanced Research in Business and Economics - INARBE; Estadística, Informática y Matemáticas
A fuzzy set on a finite universe can be interpreted as a vector in a unit cube. This gives rise to a huge variety of approaches in order to aggregate finite fuzzy sets or to modify a given one. We analyze several geometrical methods and discuss possible applications in a multidisciplinary setting.
Open Access
The hidden value of intangibles: do CEO characteristics matter?
(Emerald, 2019) Garcés Galdeano, Lucía; García Olaverri, Carmen; Enpresen Kudeaketa; Estatistika, Informatika eta Matematika; Institute for Advanced Research in Business and Economics - INARBE; Gestión de Empresas; Estadística, Informática y Matemáticas
Purpose: A great deal of research has examined the relationship between a single CEO attribute and a single measure of firm performance; no attempts have been made to integrate them to create a more global vision of both. Therefore, trying to answer new calls from Wang et al. (2016) or Liu, Fisher and Chen (2018) about a more global vision of the CEO characteristics, the authors are going to take a step forward to combine different CEO characteristics with different firm performance measure in order to show that a certain managerial profile would have an impact on several variables of firm performance. This paper aims to discuss these issues. Design/methodology/approach: Using a sample of 1,236 small firms in high- and medium-high-technology sectors and through the Canonical Correlation Analysis, the authors are able to create different CEO’s profiles that influence on different combinations of firm performance variables. Findings: The authors obtain different CEO’s profiles that influence on different combinations of firm performance variables. Each CEO profile will enhance or diminish one kind of performance measure. The authors found that on the one hand, young, well-educated with external experience CEO profile will enhance innovative performance and firm growth, and on the other hand, old and more internal and external experience CEO profile will enhance the exploitation of external knowledge. Originality/value: Through this analysis, the authors will be able to provide a more comprehensive analysis of the predictions about the role of CEOs in small firms.
Open Access
How important is family involvement for small companies’ growth?
(Emerald, 2020) Garcés Galdeano, Lucía; García Olaverri, Carmen; Enpresen Kudeaketa; Estatistika, Informatika eta Matematika; Institute for Advanced Research in Business and Economics - INARBE; Gestión de Empresas; Estadística, Informática y Matemáticas
Purpose: Our paper seeks to further understand how family involvement in management influences firm growth. Design/methodology/approach: Using a sample of small high-tech firms, we classify three different types of firms: family firms managed by family-CEOs, family firms managed by non-family CEOs and non-family firms. Findings: Consistent with our expectations, we show that firms managed by family-CEOs have less firm growth in comparison with the other two groups. When the family firm is managed by non-family CEOs, the presence of another family member in management positions has a negative impact on firm growth. Finally, we found that founder-led family firms have better firm growth than descendant-led family firms. Research limitations/implications: Implications for the theory of family firms are discussed. Originality/value: The value of the present study is to analyse in depth the heterogeneity of the family business trying to close the gap by exploring the effect of family involvement on small firm growth. Thus, we will find different behaviours of these family companies, depending on the family member’s presence in management positions.
Open Access
Instructional design for tutoring on interactive platforms: creating educational interventions overcoming the digital gap
(Springer, 2025-05-27) Rodríguez Rincón, Yeray; Munárriz Iriarte, Ana; Campión Arrastia, María Jesús; Goicoechea López-Vailo, María Isabel; Estadística, Informática y Matemáticas; Estatistika, Informatika eta Matematika; Institute for Advanced Research in Business and Economics - INARBE; Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa
This article proposes an instructional model based on psycho-pedagogical theories to serve as a basic structural unit for the creation of educational reinforcement platforms aimed at strengthening quantitative competences with which students enroll mathematics and statistics subjects (or other subjects that draw on this knowledge) at university. Although there are Intelligent Tutoring Systems (ITS) that are beneficial for students, the difficulty of manipulation and programming, together with their high economic cost when lacking programming skills, have prevented a widespread use of this type of interventions. Following the first steps of the ADDIE model, this article develops an instructional model that can be easily replicated by instructors lacking in programming and digital skills, designed to be applied in free and easy-to-handle interactive tutoring platforms, such as Genially.com or Canva, among others. The main foundations on which the pedagogical guideline is based are extracted through an extensive review of academic literature on psycho-pedagogical theories such as scaffolding, effective learning, metacognition, educational reinforcement, or feedback. Through it, students will be able to strengthen their quantitative conceptual foundations and reflect on their own learning process.
Open Access
A mathematical approach to law and deal modelling: legislation and agreements
(MDPI, 2021) Benito Ostolaza, Juan Miguel; Campión Arrastia, María Jesús; Estevan Muguerza, Asier; Estatistika, Informatika eta Matematika; Institute for Advanced Research in Business and Economics - INARBE; Institute for Advanced Materials and Mathematics - INAMAT2; Estadística, Informática y Matemáticas
Social norms are a set of rules to be followed by the people of a community in order to have a better coexistence, to which the behaviors, tasks, and activities of the human being must be adjusted. The set or system of norms, rules, or duties regulates the actions of individuals among themselves. This work presents a new and original approach to the situations of agreement as well as to the constructions of regulations. This is done by giving a mathematical formalization to the set of all possible agreements or regulations, so that, then, the proximity between them is defined by means of a premetric. Thanks to this mathematical structure that tries to capture the problematic of agreements and modifications of regulations, some currently issues related to game theory or law are now reduced to mathematical optimization problems.
Open Access
Multidistances and inequality measures on abstract sets: an axiomatic approach
(Elsevier, 2021) Campión Arrastia, María Jesús; Díaz, Irene; Induráin Eraso, Esteban; Martín, Javier; Mayor, Gaspar; Montes Rodríguez, Susana; Raventós Pujol, Armajac; Estatistika, Informatika eta Matematika; Institute for Advanced Research in Business and Economics - INARBE; Estadística, Informática y Matemáticas
Starting from the notion of a multidistance, we formalize, through a suitable system of axioms, the concept of an inequality measure defined on a nonempty set with no additional structure implemented a priori. Among inequality measures, apart from multidistances we pay special attention to dispersions, and study their main features. Classical concepts will be generalized to this abstract setting. Multidistances are then revisited, and some new methods to generate them are implemented. A wide spectrum of interdisciplinary applications is outlined in the final section.
Embargo
A new approach to continuous assessment: moving from a stressful sum of grades to meaningful learning through self-reflection
(Elsevier, 2024-11-01) Rodríguez Rincón, Yeray; Munárriz Iriarte, Ana; Magreñán Ruiz, Ángel Alberto; Estadística, Informática y Matemáticas; Estatistika, Informatika eta Matematika; Institute for Advanced Research in Business and Economics - INARBE
This paper proposes a new approach of continuous assessment of a formative nature, aimed at achieving meaningful learning with lower stress levels. This approach minimizes the punitive nature of traditional summative continuous assessment and replaces typical graded activities with self-reflecting ones. To conduct the formative evaluation, a teaching model has been developed to guide the choice of feedback and feed-forward strategies to be implemented by the instructors, depending on the students¿ levels of competence and confidence. To validate the effectiveness of this approach, a quasi-experimental design was employed, with the new continuous assessment method in the experimental group and the summative continuous assessment method in the control group. The experiment was conducted in a Mathematics course with undergraduate Economics and Business students. Data were collected through test scores and a perception questionnaire. The results indicate that the new evaluation method promotes meaningful learning and yields better academic results compared to the traditional continuous evaluation. Students expressed high satisfaction with the new approach, noting that it allows them to understand their formative status and address deficiencies before undertaking evaluable activities. They also believe this strategy helps reduce the stress associated with the summative evaluation itself.
Open Access
Open questions in utility theory
(Springer, 2020) Campión Arrastia, María Jesús; Induráin Eraso, Esteban; Estatistika, Informatika eta Matematika; Institute for Advanced Research in Business and Economics - INARBE; Institute for Advanced Materials and Mathematics - INAMAT2; Estadística, Informática y Matemáticas
Throughout this paper, our main idea is to explore different classical questions arising in Utility Theory, with a particular attention to those that lean on numerical representations of preference orderings. We intend to present a survey of open questions in that discipline, also showing the state-of-art of the corresponding literature.
Open Access
Past-myopic economic agents
(Economics Bulletin, 2025-03-30) Campión Arrastia, María Jesús; Induráin Eraso, Esteban; Munárriz Iriarte, Ana; Estadística, Informática y Matemáticas; Estatistika, Informatika eta Matematika; Institute for Advanced Research in Business and Economics - INARBE; Institute for Advanced Materials and Mathematics - INAMAT2
In this paper, the idea of myopic preference and myopic topology provided by Brown and Lewis is further explored. In this sense, new definitions of myopia are introduced for finite spaces. The main contribution of the work is the inclusion of the past in the models. We have defined the notions of past-myopic preference and topology for sequence spaces and n-dimensional spaces. Adding this new dimension makes it possible to work with decision spaces where the economic agent only has information about past events and when she has to choose accordingly to it, which is in line with the reality of certain economic situations, such as voting or finances. This approach generates a wide room for future research lines related to the idea of myopia. Based on this, it would allow to study in forthcoming research past-hyperopic topologies and preferences, and to interconnect different preferences, defined on the past and future models.
Open Access
Plant ammonium sensitivity is associated with external pH adaptation, repertoire of nitrogen transporters, and nitrogen requirement
(Oxford University Press, 2024-03-11) Rivero Marcos, Mikel; Lasa Larrea, Berta; Neves, Tomé; Zamarreño, Ángel M.; García Mina, José M.; García Olaverri, Carmen; Aparicio Tejo, Pedro María; Cruz, Cristina; Ariz Arnedo, Idoia; Ciencias; Zientziak; Estadística, Informática y Matemáticas; Estatistika, Informatika eta Matematika; Institute for Multidisciplinary Research in Applied Biology - IMAB; Institute for Advanced Research in Business and Economics - INARBE; Universidad Publica de Navarra / Nafarroako Unibertsitate Publikoa; Gobierno de Navarra / Nafarroako Gobernua
Modern crops exhibit diverse sensitivities to ammonium as the primary nitrogen source, influenced by environmental factors such as external pH and nutrient availability. Despite its significance, there is currently no systematic classification of plant species based on their ammonium sensitivity. We conducted a meta-analysis of 50 plant species and present a new classification method based on the comparison of fresh biomass obtained under ammonium and nitrate nutrition. The classification uses the natural logarithm of the biomass ratio as the size effect indicator of ammonium sensitivity. This numerical parameter is associated with critical factors for nitrogen demand and form preference, such as Ellenberg indicators and the repertoire of nitrogen transporters for ammonium and nitrate uptake. Finally, a comparative analysis of the developmental and metabolic responses, including hormonal balance, is conducted in two species with divergent ammonium sensitivity values in the classification. Results indicate that nitrate has a key role in counteracting ammonium toxicity in species with a higher abundance of genes encoding NRT2-type proteins and fewer of those encoding the AMT2-type proteins. Additionally, the study demonstrates the reliability of the phytohormone balance and methylglyoxal content as indicators for anticipating ammonium toxicity. This study emphasizes the importance of ecophysiological requirements and the repertoire of nitrogen transporters in understanding plant sensitivity to ammonium, and enhances our knowledge of plant nitrogen nutrition.